The machine has an undercarriage arranged at a chassis (1) and including front and rear chain drives (3A, 3B) in driving direction. A recognition device recognizes a process of a milling edge of a milling strip and has measuring units for measuring distance between a reference point of the machine and the milling edge. The recognition device for recognizing the process of the milling edge cooperates with a steering device (6) for steering the chain drives, such that the machine follows the process of the milling edge.
